10213003000103 has 24 divisors (see below), whose sum is σ = 10900646396640. Its totient is φ = 9566682206720.

The previous prime is 10213003000073. The next prime is 10213003000127. The reversal of 10213003000103 is 30100030031201.

It is not a de Polignac number, because 10213003000103 - 2¹⁶ = 10213002934567 is a prime.

It is a super-2 number, since 2×10213003000103² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213003000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51727550 + ... + 51924612.

It is an arithmetic number, because the mean of its divisors is an integer number (454193599860).

Almost surely, 2^{10213003000103} is an apocalyptic number.

10213003000103 is a deficient number, since it is larger than the sum of its proper divisors (687643396537).

10213003000103 is a wasteful number, since it uses less digits than its factorization.

10213003000103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197947 (or 197930 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 10213003000103 its reverse (30100030031201), we get a palindrome (40313033031304).

The spelling of 10213003000103 in words is "ten trillion, two hundred thirteen billion, three million, one hundred three", and thus it is an aban number.